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132104422324 = 227174315142743
BaseRepresentation
bin111101100001000001…
…0011000001110110100
3110121222120202222100101
41323002002120032310
54131022213003244
6140404332123444
712354446030260
oct1730202301664
9417876688311
10132104422324
1151030558836
1221729606584
13c5c3b80544
146572b870a0
1536829a10d4
hex1ec20983b4

132104422324 has 96 divisors (see below), whose sum is σ = 288158846976. Its totient is φ = 51700723200.

The previous prime is 132104422313. The next prime is 132104422337. The reversal of 132104422324 is 423224401231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132104422292 and 132104422301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069297 + ... + 3112039.

It is an arithmetic number, because the mean of its divisors is an integer number (3001654656).

Almost surely, 2132104422324 is an apocalyptic number.

132104422324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132104422324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144079423488).

132104422324 is an abundant number, since it is smaller than the sum of its proper divisors (156054424652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132104422324 is a wasteful number, since it uses less digits than its factorization.

132104422324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42965 (or 42963 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132104422324 its reverse (423224401231), we get a palindrome (555328823555).

The spelling of 132104422324 in words is "one hundred thirty-two billion, one hundred four million, four hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 151 172 238 301 302 476 602 604 731 1057 1204 1462 2114 2567 2924 4228 5117 5134 6493 10234 10268 12986 17969 20468 25972 35938 42743 45451 71876 85486 90902 110381 170972 181804 220762 299201 441524 598402 726631 772667 1196804 1453262 1545334 1837949 2906524 3090668 3675898 5086417 6454193 7351796 10172834 12865643 12908386 20345668 25731286 25816772 31245133 45179351 51462572 62490266 90358702 109721281 124980532 180717404 218715931 219442562 277530299 437431862 438885124 555060598 768048967 874863724 1110121196 1536097934 1942712093 3072195868 3885424186 4718015083 7770848372 9436030166 18872060332 33026105581 66052211162 132104422324